According to wikipedia's The Battle of Midway, the Naval Carrier CV-8 "Hornet" participated in the Pacific theatre in 1942. Where could I find more confirmation on the Hornet?
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Here is an internet archive of photographs and film footage of the USS Hornet (CV-8), during her construction and operation. There is a sizable section on her participation in the Battle of Midway, with both stills and motion pictures (can't really call it video... it was shot on film.)
So, no, there is no conspiracy to cover up the USS Hornet's (CV-8) existence or her participation in the battle of Midway.